How to transfer vertex position between 2 similar objects
If the models are from the same base (for instance sculpted one from the other, or simply modified a bit), so that they have the exact same topology, they can be mixed as shape keys:

To do that, select the mesh to transfer, then shift select the destination mesh. And in the properties panel, in the shape key part, use "join as shapes".

Now you have the left models incorporated as shape keys in the right model:



If you don't want to keep the shape key, simply slide the value to 1 and remove the shape keys (when removing, remove the others shape keys first and the one you want to keep last):